The measure of the segment DF is 2 2/3
<h3>Segment Addition postulate</h3>
The segment addition postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.
A line is a distance between two points. From the given line;
DF = F - D
Given the following
F = -1 1/3
D = -4
Substitute
DF = -1 1/3 - (-4)
DF = 4 - 4/3
DF = 8/3
DF =2 2/3
Hence the measure of the segment DF is 2 2/3
Learn more on Segment Addition postulate here: brainly.com/question/2134445
#SPJ1
Answer:
Linear pair is two adjacent angles whose non-common side from opposite rays. the line through points A., B and C is straight line. if two angles from a linear pair the angle are supplementary.
Answer:
Step-by-step explanation:
1) False: The function is decreasing (because the base, 1/3, is between 0 and 1).
2) True: The function is decreasing (see #1, above)
3) False: There is no x-intercept.
4) True: If x is 0, then y = (1/3)^0 = 1.
5) False: the range consists of the set of all real numbers greater than zero.
Answer: $19.5
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a rectangular prism = width x length x height
Replacing with the values given:
Since 1= 1/12 foot
36 in /12 = 3 foot (length and wifth)
4 in /12 = 1/3 foot (height)
V = 3 x 3 x 1/3 = 3ft3
Next, we multiply it by 2 (since there are 2 sections):
3 x 2 = 6 ft3
Finally we multiply it by the cost of each cubic foot:
6 x 3.25 = $19.5
Feel free to ask for more if needed or if you did not understand something.
F(x)=(x-8)/(x+7). g(x)=(-7x-8)/(x-1). Plug in g(x) into f(x), f(g(x))=[(-7x-8)/(x-1)-8]/[-7x-8)/(x-1)+7], which can be simplified as (-7x-8-8x+8)/(-7x-8+7x-7)=-15x/-15=x. Plug in f(x) into g(x), g(f(x))=[-7*(x-8)/(x+7)-8]/[(x-8)/(x+7)-1]=(-7x+56-8x-56)/(x-8-x-7)=-15x/-15=x, as desired.
